Can one take the medicine Fioricet before surgery?

ibuprofen is a blood thinner, just like aspirin and ideally should be avoided 2 weeks prior to surgery. Acetominophen (Tylenol) does not have that effect and can be taken instead.

Incorrect. After taking ibuprofen, unlike aspirin, blood platelet function returns to normal in about 24 hours. Ibuprofen should be discontinued at least 24 hours before surgery. I am a physician, and I have discovered that many surgeons are unaware of the difference between aspirin and ibuprofen with regard to platelet function.